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The interior angles of a polygon are in AP. The smallest is 120° and the common difference is 5°. How many sides does the polygon have?

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • A9
  • B8
  • C16
  • D12

Step-by-Step Solution

Sum of angles = ° = , which simplifies to or 16. With the largest angle would be 120° + 75° = 195° > 180°, impossible. So .
Answer: A) 9

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